H? Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

In this paper, we propose a nonlinear state feedback controller based on linear matrix inequality (LMI) for class of systems with parametric uncertainties and external disturbances. The primary goals the proposed are to guarantee system stability performance in presence time-dependent To meet specified objectives, LMI form is calculated as hierarchical control structure. Using Lyapunov function, asymptotic nominal obtained from proven, condition attained. After applying controller, conditions constructed using state-feedback mechanism determined accordingly. Considering disturbance input, terms matrices substituted LMI, achieved uncertain disturbances by adding system. approach yields simple representing an independent order. was assessed simulation study ball beam